Geodesic
On the cochain complex of topological spaces
Sbornik. Mathematics, Tome 43 (1982) no. 1, pp. 133-144

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Let $X$ be a topological space and $C^*(X; R)$ the cochain complex with coefficients in $R$. In this paper it is shown that one can define on $C^*(X; R)$ the structure of algebras over an $E_\infty$-operad, and the $B$-construction is carried out. The $B$-construction is an $E_\infty$-algebra that makes it possible to define an $E_\infty$-structure on the cochain complex of loop spaces. Bibliography: 8 titles. 
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     author = {V. A. Smirnov},
     title = {On the cochain complex of topological spaces},
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     year = {1982},
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     url = {http://geodesic.mathdoc.fr/item/SM_1982_43_1_a6/}
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V. A. Smirnov. On the cochain complex of topological spaces. Sbornik. Mathematics, Tome 43 (1982) no. 1, pp. 133-144. http://geodesic.mathdoc.fr/item/SM_1982_43_1_a6/